ISSN:0278-1077    

DOI:10.1080/17476938808814291

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938808814292

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

LetH(D)denote the linear space of analytic functions on the open unit discD, and letNbe a norm onH(D). LetHNandSNdenote the spaces of functionsfinH(D)such that

ISSN:0278-1077    

DOI:10.1080/17476938808814293

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938808814294

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938808814295

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

Letwbe a generalized analytic function, that is.wsatisfies the equationHopf's maximum principle is used to derive sufficient conditions on the coefficientsAandBsuch that any solutionwof (*) satisfies the maximum principle of the formfor all = ∈Ğ, whereGis a bounded domain of the complex planeC. Furthermore a new factorization theorem is proved which asserts that any solutionwof (*) can be factorized in the formw=Wexp ω, whereWis a solution of an equation of the same type (*) with coefficientsÃ,[Btilde]andωis continuous inĞ. This factorization theorem allows to improve the constantCin the estimate |w(z)|≤Csupζ∈∂G|w(ζ)| obtained by means of the factorization by analytic functions.

ISSN:0278-1077    

DOI:10.1080/17476938808814296

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

In this article, we define a class of univalent functions which contains each extreme point and each support point ofS. Then we show that this class is the closure of a subclass which consists of those functions that are finite products of relatively simple functions.

ISSN:0278-1077    

DOI:10.1080/17476938808814297

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

Some inequalities of exponential type for analytic functions with finite Dirichlet integrals on bounded simply connected regular regions are derived by using the theory of reproducing kernels.

ISSN:0278-1077    

DOI:10.1080/17476938808814298

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

In this paper we first give immediate proofs of some known (and possibly not so well known) facts about star shaped domains inCnRunge property, envelope of holomorphy, polynomial convexity … Our proofs avoid any use of the general Docquier Grauert theorem We begin a discussion of polynomial approximation on star shaped compact set in.

ISSN:0278-1077    

DOI:10.1080/17476938808814299

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor

摘要:

Conditions so that a finite number of elementsf0fnof a functionF-algebra A can generate A as an A-module are considered from various points of view. In several cases, simple explicit algebraic tools are presented to reduce the problem of finding the coefficients of a representation of 1 to integrations in suitable algebraic complexes (sometimes, it is a question of integration of ∂exact forms). Applications to algebras of holomorphic functions on domains X with strictly pseudoconvex boundary are described. especially when the considered functions have rather regular behavior up to the boundary of X.

ISSN:0278-1077    

DOI:10.1080/17476938808814300

出版商:Gordon and Breach Science Publishers    

年代:1988

数据来源: Taylor